3(1-x)=4(x-5)-3

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Solution for 3(1-x)=4(x-5)-3 equation:


Simplifying
3(1 + -1x) = 4(x + -5) + -3
(1 * 3 + -1x * 3) = 4(x + -5) + -3
(3 + -3x) = 4(x + -5) + -3

Reorder the terms:
3 + -3x = 4(-5 + x) + -3
3 + -3x = (-5 * 4 + x * 4) + -3
3 + -3x = (-20 + 4x) + -3

Reorder the terms:
3 + -3x = -20 + -3 + 4x

Combine like terms: -20 + -3 = -23
3 + -3x = -23 + 4x

Solving
3 + -3x = -23 + 4x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-4x' to each side of the equation.
3 + -3x + -4x = -23 + 4x + -4x

Combine like terms: -3x + -4x = -7x
3 + -7x = -23 + 4x + -4x

Combine like terms: 4x + -4x = 0
3 + -7x = -23 + 0
3 + -7x = -23

Add '-3' to each side of the equation.
3 + -3 + -7x = -23 + -3

Combine like terms: 3 + -3 = 0
0 + -7x = -23 + -3
-7x = -23 + -3

Combine like terms: -23 + -3 = -26
-7x = -26

Divide each side by '-7'.
x = 3.714285714

Simplifying
x = 3.714285714

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